An effective computer generation method for the composites with random distribution of large numbers of heterogeneous grains

In this paper in order to perform the prediction of the physics and mechanics properties for the composite materials with random distribution of large numbers of heterogeneous grains/cavities an effective computer generation method is presented to more perfectly and rapidly generate the samples of the random distribution domain with large numbers of grains/cavities. At first the heterogeneous geometries of grains/cavities are represented and the stationary random distribution with large numbers of grains/cavities is defined. In order to construct the algorithm for generating the samples of inhomogeneous stationary random distribution the selection algorithm with one stochastic variable is extended to the situation with several stochastic variables, and the selection theorem with several stochastic variables is stated. And then the detailed procedure of new algorithm is described. Finally several illustrations for 2 and 3 dimensional random distribution domains with the grains of different geometries are demonstrated respectively. The computer method in this paper is able to generate the sample with a higher percentage of grain volume and better stochastic property, and suitable to arbitrary stationary probability distribution model. The practice shows that the computer method in this paper is effective.